On a class of Burch ideals and a conjecture of Huneke and Wiegand

• Olgur Celikbas ^[1] ; Toshinori Kobayashi ^[2]
  1. [1] West Virginia University

     West Virginia University

     Estados Unidos

     
  2. [2] Nagoya University

     Nagoya University

     Naka-ku, Japón

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 2, 2022, págs. 221-236
• Idioma: inglés
• DOI: 10.1007/s13348-021-00315-8
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we are concerned with a long-standing conjecture of Huneke and Wiegand. We introduce a new class of ideals and prove that each ideal from such class satisfies the conclusion of the conjecture in question. We also study the relation between the class of Burch ideals and that of the ideals we define, and construct several examples that corroborate our results.